Refer to the Figure $\angle B = 45 ^ { \circ }$

Multiple Choice

Refer to the figure. If $\angle B = 45 ^ { \circ }$ and $A C = 40 \mathrm {~cm}$ , find $A B$ .

A) $80$
B) $\frac { 80 \sqrt { 3 } } { 3 }$
C) $40 \sqrt { 2 }$
D) $40$
E) $\frac { 80 \sqrt { 3 } } { 2 }$